An upper bound on the SER of transmit beamforming in correlated Rayleigh fading

Authors:
Pengcheng Zhu;Lan Tang;Yan Wang;Xiaohu You
Affiliations:
National Mobile Communications Research Laboratory, Southeast University, Nanjing, China;Department of Electronic Science and Engineering, Nanjing University, Nanjing, China;National Mobile Communications Research Laboratory, Southeast University, Nanjing, China;National Mobile Communications Research Laboratory, Southeast University, Nanjing, China
Venue:
IEEE Transactions on Communications
Year:
2010

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Abstract

We study the symbol error rate (SER) of maximum ratio transmission, transmit antenna selection, and codebook-based beamforming in correlated Rayleigh fading channels. Assuming maximum ratio combining is performed at the receiver, we derive a universal upper bound on the average SER of the three schemes, and prove that the bound is asymptotically tight in high signal-to-noise ratio (SNR) regions. However, numerical results show that at medium SNR, the tightness of the bound depends on the condition number of the channel correlation matrix.